Probability distributions are, by definition, not necessarily deterministic.
Relations are, by definition, not necessarily deterministic.  NOTE:  I'm
not going along with Codd's restriction that there be no duplicate cases.
You get statistics by projecting high dimensional data (where every datum
is unique) to a lower dimension by hiding columns (aka properties) of the
thing in itself via "observation" which can only be from a limited
perspective.

Functions are deterministic, degenerate, N:1 relations.

Procedures are degenerate functions that map the current global state to
the next state.

Turing machines are procedural.

Why would anyone think they can get away with a theory of AGI based on
anything but relations?

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Artificial General Intelligence List: AGI
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